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The guaranteed performance consensus for multiple agents with Lipschitz nonlinear dynamics is investigated by using the delayed consensus protocol. Based on state errors between the one agent and the other agents, the performance function is introduced to describe the consensus regulation performance. The problems are transformed into guaranteed performance stabilization problems by using a matrix...
In this paper, we focus on containment control problem for discrete-time multi-agent systems (MASs). More specifically, the MASs are nonlinear systems and they are modeled by discrete-time Takagi-Sugeno (T-S) fuzzy systems. A fuzzy control protocol with a nonlinear feedback control law in each control rule is introduced, which is based on the data collected from the local agent and its neighbors....
This paper is concerned with the consensus problem for general first-order multi-agent systems over undirected topology. Under the assumption that the topology is connected and every agent receives neighbors information with time-varying communication delay, allowable delay bound depending on the agent dynamics, topology structure and the control gain is obtained. In particular, in case of first-order...
In this paper, the consensus problem of second order multi-agent systems with disturbance is studied under heterogenous position and velocity topologies. The cases that the disturbances are generated from linear exosystems and nonlinear exosystems are considered, respectively. Linear disturbance observer and dynamic-gain-based nonlinear disturbance observer using only the velocity information of the...
Periodic event-triggered control for the consensus problem of multi-agent systems is investigated in this paper. Triggering conditions are discussed in two cases: 1) with communication between neighbors at each verification time, 2) with communication at triggering times. Based on Lyapunov theory and algebraic graph theory, consensus conditions on the verification period and triggering condition parameters...
The multi-tracking problem of second-order multi-agent system with communication delay is investigated in this paper. An intermittent control protocol is proposed on the basis of only relative position measurement, where the information of agent is quantized before transmission using stochastic quantization scheme. On the basis of algebraic graph theory, stochastic quantization and stability theory,...
In this paper, the distributed tracking problem for heterogeneous second-order multiagent systems with nonlinear dynamics is studied. Both the dynamics among the followers and the dynamics between the leader and each follower are heterogeneous. A sampled-data-based consensus protocol is proposed. In addition, the communication delays are considered. Based on Lyapunov stability theory and linear matrix...
This paper studies the fully-distributed consensus problem for multi-agent systems with unknown dynamics and bounded external disturbances. The interaction topology of the multi-agent system is assumed to contain a directed spanning tree. Based on adaptive gains, we present the fully-distributed consensus protocol which can obtain consensus without using any global information. The simulation examples...
Distributed practical node-to-node state consensus problem is studied in this paper for a class of two-layer multi-agent systems. It is supposed that there are two layers, i.e., the leaders' layer and followers' layer, in the considered multi-agent systems. Unlike most existing results on distributed consensus of multi-agent systems, the control objective in this paper is to make the states of each...
Cooperative containment problem is presented in this paper for discrete-time multi-agent systems with different dynamics subject to structural uncertainties. The topologies of the agents could be assumed that one leader contains a directed path to all the follower agents. The paper obtains some novel and challenging results on cooperative containment control problem of discrete-time multi-agent systems:...
This paper considers the distributed output consensus problem of heterogeneous linear multi-agent networks with event-triggered communications. To handle the heterogeneity existing in the network, we first design adaptive event-based dynamic compensators for the agents. Distributed output feedback protocols, consisting of the dynamic compensators and the distributed state observers, the local controllers,...
In this note, under time varying undirected graph, we discuss fixed-time consensus of multi-agent systems and present one framework for constructing effective distributed protocols, which is continuous and distributed state feedbacks. Based on the theory of fixed-time stability, and we prove that if the sum of time intervals is larger than a given time, and the bounded of initial states is known,...
Frequency-domain criterion on containment control for general linear multi-agent systems with time delay is studied under the directed network topology. A distributed protocol with time-invariant delay is proposed. When time-delay is an unknown constant, frequency-domain criterion on containment control of general linear multi-agent systems with delay is obtained, and an upper bound of delay is given...
This paper studies the almost sure containment via time-varying feedback for a class of stochastic nonlinear multi-agent systems. The systems in question allow serious unknowns in the nonlinearities and control coefficient. For this, a time-varying gain is incorporated to compensate the serous unknowns, where the key idea is to introduce an increasing function which is only dependent on time such...
H∞ consensus is investigated for multi-agent systems with linear dynamics and impulsive effects in this paper. First of all, by considering the effects of distributed impulses, the model of linear multi-agent systems with impulsive effects and external disturbances has been obtained. Then, in view of the average impulsive interval and the Lyapunov stability theory, an algorithm has been given to solve...
Formation-containment tracking problems for high-order linear multi-agent system on directed graphs are studied, where the multi-agent system is composed of a virtual leader, several real leaders and followers. The real leaders need to not only accomplish a predefined time-varying formation but also track the expected trajectory generated by the virtual leader, while the followers are required to...
In this paper, we address the finite-time tracking consensus control problem for nonlinear multi-agent systems under no-cycle communication graph. Unlike most existing works of finite-time consensus, we focus on nonlinear multi-agent systems with lower triangular subsystems. Based on the local cooperative information among neighboring agents, we propose a tracking consensus protocol ensuring that...
In this note, we investigate the fixed time consensus in probability for stochastic multi-agent systems under undirected graph. First, a nonlinear consensus protocol with Gaussian white noise is given, and the concept of fixed-time consensus in probability is given. Second, we prove that multi-agent systems can achieve fixed-time consensus in probability under undirected topology by using graph theory,...
This paper investigates the formation control of the multi-agent with single-integrator kinematics in the plane, and presents a new method which could guarantee the agent to realize the arbitrary prescribed formation, furthermore, locations of the agents in the formation can be arbitrary arranged as what we expected. Our method is generalized as follows: Firstly, a consensus control protocol is designed,...
This paper consider the cluster formation for multiagent systems with sampled-data method. The control of cluster formation is try to make each group of the agents realize distinct complete formation. For the sake of energy saving, a sampled-data control scheme is constructed for cluster formation. Then a sufficient condition based on linear matrix inequality techniques is given for the cluster formation...
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